An audio earpiece such as Apple Airpods Pro has spatial audio feature that can track human head movement to give surround sound effect. Assuming you are listening to the audio that is streaming from the Macbook Pro to your earpiece, the audio signal has a fundamental component of 4 KHz and its second harmonics at 0.25 V and 0.125 V respectively. It passes through the anti-aliasing filter before it goes through the 8 bits 2’s complement ADC inside the earpiece to process the audio signal fidelity. The processed audio signal goes through an amplifier with a volume gain of 3 and produces additional 4th and 5th harmonics at 0.075 V and 0.05 V respectively.
(b) Analyse the quantization level that is required to cover the full voltage swing of 2 V peak-to-peak of the spatial audio input signal at the earpiece. Hence, obtain the quantization error range with the truncation rule being used in the conversion process of ADC.
Please give a step by step calculations

Answer:

59g

Explanation:

The tennis ball with a velocity of 18 m/s and momentum of 1.06 kg m/s then the mass of the tennis ball in grams will be 59 grams (approx) two significant figures.

Regardless of the frame of reference, momentum is a conserved quantity in any inertial frame, which means that if an enclosed system is not subject to outside influences, its total linear momentum remains constant.

Additionally, momentum is preserved in general relativity, electrodynamics, quantum mechanics, quantum field theory, and special relativity (using a modified formula). It is a manifestation of translational symmetry, one of the basic symmetries of space and time.

According to the question, the given values are :

Velocity, v = 18 m/s

Momentum, p = 1.06 kg m/s

p = m × v

1.06 kg m/s = m × 18 m/s

m = 1.06 / 18

m = 0.0589 kg or

m = 58.9 grams or 59 grams approx in two significant figures.

So, the mass will be 59 grams.

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Given:

The first force acting on the object is 61.

The second force acting on the object is 92.

The angle between two forces is 90.

The resultant force acting on the object is,

Substitute the known values,

Thus, the resultant force acting on the object is 110.4.

Answer:

A: 15 m/s

B: 900 Meters

Explanation:

A. Average speed is equal to final velocity plus initial velocity divided by two

Va= (20+10)/2 = 15 m/s

B.

distance = speed × time

D= 15 m/s * 60s = 900 Meters

Answer:

Answer is in the attachment.

Explanation:

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Answer:

The correct option is (c) "it bounces the light towards a focal point"

Explanation:

There are two types of spherical mirrors i.e. concave and convex.

A concave mirror is a type of spherical mirror that is curved inwards. For this type of mirror the rays of light are bounced back and converge to the focal point of the mirror.

So, the correct option is (c).

Answer:

c

Explanation:

A battery and a Genacon electric generator both produce electrical energy through the flow of charges.

The voltage of a battery is smaller than the voltage produced by a Genacon electric generator.

A battery is a device that uses chemical reactions occurring within it to produce electrical energy or electricity. The voltage of batteries are

A battery is an example of an electrochemical cell. An example of a battery is a Lithium-ion battery.

An electric generator is a device that produces electrical energy or electricity from mechanical energy and electromagnets.

An example of a generator is a Genacon electric generator.

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Answer:

the correct is the letter D

Explanation:

Hope it helps my lady.......

Answer:

ok so

Explanation:

1.) 1 hour

2.) 14 years old

3.)

24 years old

4.) you are

The arrangement of the photons based on the decreasing number of photons in each beam is; gamma ray >  x-ray > green light > yellow light > AMradio wave > FM Radio wave.

The term electromagnetic radiation refers to those rays that do not require a medium of propagation. That is, the are travel through vaccum. We must note that the greater the frequency of the wave, the greater the number of photons.

Hence, the arrangement of the photons based on the decreasing number of photons in each beam is; gamma ray >  x-ray > green light > yellow light > AMradio wave > FM Radio wave.

Missing parts;

Beams of different frequency electromagneticradiation are listed below. Each beam has the same total energy.Rank these beams on the number of photons in each beam. green light, FM Radio wave, x-ray, yellow light, gamma ray, AMradio wave

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Answer:

C. gravitational

Explanation:

Took  the test!

Answer:

150w

Explanation:

power = workdone/time

9000/60

150w

The power delivered to the headlights varies by approximately 3.36% (or 36.4% when expressed as a relative change) as the voltage changes from 12 V to 14.2 V.

The power delivered to a load can be calculated using the formula: Power = (Voltage)² / Resistance.

Given that the voltage varies from 12 V to 14.2 V, we can calculate the percentage change in voltage as follows: ΔV/V₀ * 100%, where ΔV is the change in voltage and V₀ is the initial voltage.

ΔV = 14.2 V - 12 V = 2.2 V

V₀ = 12 V

The percentage change in voltage is: (2.2 V / 12 V) * 100% = 18.33%

Now, since power is proportional to the square of voltage, we can calculate the percentage change in power using the square of the percentage change in voltage:

Percentage change in power = (Percentage change in voltage)² = (18.33%)² = 3.36%

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The expression for the energy stored (E) in a stretched wire of original length (L), cross-sectional area (A), tension (T), and Young's modulus (Y) is given by E = Y * e * ln(L) * A

The work done to stretch the wire can be calculated by integrating the force applied over the displacement. In this case, the force applied is the tension (T) in the wire, and the displacement is the change in length (ΔL) from the original length (L) to the stretched length (L + ΔL).

The tension in the wire is given by Hooke's law, which states that the tension is proportional to the extension of the wire:

T = Y * (ΔL / L)

where Y is the Young's modulus of the material of the wire.

Now, let's calculate the work done to stretch the wire:

dW = T * dL

Integrating this expression from L to L + ΔL:

W = ∫ T * dL = ∫ Y * (ΔL / L) * dL

W = Y * ΔL * ∫ (dL / L)

W = Y * ΔL * ln(L) + C

Here, C is the constant of integration. Since the energy stored in the wire is zero when it is unstretched (ΔL = 0), we can set C = 0.

Finally, the expression for the energy stored in the wire (E) is:

E = W = Y * ΔL * ln(L)

or, if we substitute the cross-sectional area (A) and strain (e) of the wire, where e = ΔL / L:

E = Y * e * ln(L) * A

Thus, the expression for the energy stored (E) in a stretched wire of original length (L), cross-sectional area (A), tension (T), and Young's modulus (Y) is given by:

E = Y * e * ln(L) * A

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Answer:

final velocity is 70m/s

Explanation:

at = v-u

4 x 15 = v - 10

60 = v - 10

v = 60 + 10

v = 70m/s

Answer:

Explanation:

This is a product of a mass and velocity of a moving or a rest body.

it is expressed as P(momentum)=M(mass) × V(velocity)

Its SI unit is kgm/s

From our question.

Given

Momentum=3600kgm/s

Velocity=6m/s

RTF=Mass

Solution

P=M×V

M=P/V

= 3600kgm/s

6m/s

Decay theory posits that the passage of time leads to the decay or fading of memories, resulting in forgetting.

Decay theory is a psychological theory that suggests that the passage of time leads to the decay or fading of memories in our minds. According to this theory, memories are thought to be stored in the brain in a fragile or temporary state, and if they are not rehearsed or reinforced over time, they gradually weaken and eventually disappear.

The basic idea behind decay theory is that memories are susceptible to forgetting simply due to the natural passage of time. This decay or fading of memories is believed to occur at a physiological level, with the connections between neurons in the brain gradually weakening if not regularly activated or reinforced.

The concept of decay theory is often used to explain why we forget information that we haven't used or accessed for a long time. For example, if you learn something new but don't review or practice it, the memory of that information may fade away over time.

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The revolutions per minute (rpms) of the disk is calculated as  875 rpm.

Full form of RPM is Revolutions Per Minute and it is a calculation of the rotation frequency, the number of revolutions or turns an object takes per minute.

First, calculate the circumference of the circle traced by the laser:

C = 2 * pi * r = 2 * pi * 0.04 m = 0.08 m

Next, divide the circumference by the linear velocity of the CD:

RPM = (v / C) * 60 sec/min

where v is the linear velocity of the CD.

So,

RPM = (1.25 m/s) / (0.08 m) * 60 sec/min = 875 RPM

Therefore, the disk is rotating at 875 revolutions per minute.

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Answer:

Pressure = 39200 N/m²

Explanation:

Given the following data;

Mass = 60 kg

Area = 150 cm²

Conversion:

1 centimeter square = 0.0001 meter square

150 centimeter square = 150 * 0.0001 = 0.015 m²

To find the pressure exerted on the ground by the person;

Mathematically, pressure is given by the formula;

\( Pressure = \frac {Force}{area} \)

First of all, we would determine the force exerted by the person.

Force = mass * acceleration due to gravity.

We know that acceleration due to gravity is equal to 9.8 m/s².

Substituting into the formula, we have;

Force = 60 * 9.8

Force = 588 Newton

Next, find the pressure;

\( Pressure = \frac {Force}{area} \)

Substituting into the formula, we have;

\( Pressure = \frac {588}{0.015} \)

Pressure = 39200 N/m²

The image distance of the object 1.00 m in front of a converging lens of focal length 20.0 cm is 0.25 m, which means the image is formed 0.25 m behind the lens.

The relationship between the object distance (p), the image distance (q), and the focal length (f) of a converging lens is given by the thin lens equation:

1/p + 1/q = 1/f

where p is the object distance, q is the image distance, and f is the focal length of the lens.

In this case, the object distance p is 1.00 m and the focal length f is 20.0 cm = 0.20 m. We can solve for q by rearranging the thin lens equation:

1/q = 1/f - 1/p

1/q = 1/0.20 - 1/1.00

1/q = 5 - 1

1/q = 4

q = 1/4

q = 0.25 m

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The answer is  

1 . The force of gravity on the ship at that orbit be using the early measurements be 5.435 × 10^5 N..

2.  The acceleration of your lander due to gravity be 4.94 m/s^2..

Force of Gravity

The gravitational force, which is what pushes mass-containing objects toward one another. We frequently consider the pull of gravity from the Earth. Your body is kept on the ground by this force. However, all mass-bearing objects are pulled toward one another by gravity.

Super-Earth-sized exoplanet Proxima Centauri b revolves around a M-type star. It has an Earth-mass of 1, orbits its star every 11.2 days, and is 0.048 AU away from it. In 2016, news of its finding was released.

Given that,

Planet Proxima Centauri B has a mass of approximately7.6x10^24 kg.

The ship lander has a mass of approximately 1.1x10^5 kg.

stable orbit  radius of 9000000 m from the center of planet Proxima Centauri B.

1. Using Newton's Law of Universal Gravitation,  the force of gravity on the ship at that orbit be using the early measurements = GMm/r²

= (7.6 × 10⁻¹¹)×(7.6x10^24)(1.1x10^5)/(9000000)² N

= 5.435 × 10^5 N.

2.  the acceleration of your lander due to gravity: a = F/m

=  5.435 × 10^5 N/ 1.1x10^5 kg.

= 4.94 m/s^2.

3.The planet's mass distribution might not be uniform, which is one of the potential factors that might explain the discrepancy between expected and actual figures. Therefore, the planet's centre of mass is not found at the geometric centre.

The orbiting path of gravity  could be elliptical rather than circular.

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Answer:

D. Current

I hope this helps

Because the ropes are the same. Therefore, the frequency of both ropes is the same. Consequently, a wave in the second rope has a frequency of 1.5 hertz.

Frequency is the quantity of waves that pass a fixed point in a unit of time as well as the quantity of cycles or vibrations that a body in periodic motion experiences in a given period of time.

Frequency refers to the quantity of waves passing a fixed location in a predetermined period of time. As a result, the frequency is 2 per second if a wave passes through in 1/2 of a second. If it takes one hundredth of an hour, the frequency is one hundred per hour.

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Answer:

Specific heat is defined by the amount of heat needed to raise the temperature of 1 gram of a substance 1 degree Celsius (°C). Water has a high specific heat capacity which we'll refer to as simply "heat capacity", meaning it takes more energy to increase the temperature of water compared to other substances.

Explanation:

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The features the scientist is likely to see are:

Based on the fact that a coral reef is an underwater ecosystem that contains different animals and species, they contain a colony of coral polyps.

This refers to the underwater ecosystem that contains different animals and species.

Hence, we can see that based on the fact that a scientist is studying the outer reef section of a coral reef, he would see the distinct characteristics of the coral and these are the:

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The force F1 is equal and opposite to the downward force thus, F1 is equal to 60 N. The force F2 is inclined to 30 ° from leftward force and it is equal to 38.97 N in magnitude.

Force is an external agent acting on a body to deform it or to change its state of motion or rest. Force is a vector quantity and it is characterised by its magnitude and direction.

If two forces acting on a body from the same directions, then the net force will be the sum of these two forces. If they are acting from opposite directions, they will cancel each other in magnitude.

The force F1 is equal and opposite to the force acting downward. Thus its magnitude is 60 N. The force F2 is inclined to 30 ° from horizontal direction.

F2 = 45 cos 30 = 38.9 N.

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The heat generated by the Earth would keep passing radially outward from the Earth's surface into space if the natural greenhouse effect did not exist, and the Earth would have an average temperature of about -20°C.

The greenhouse effect describes how "greenhouse gases" trap heat near the Earth's surface.

These heat-trapping gases act like a blanket wrapped around Earth, keeping it warmer than it would be without them.

Earth would turn into an icy wasteland if greenhouse gases were not present.

Greenhouse gases maintain our planet habitable by retaining some of the Earth's heat energy, preventing it from escaping into space. The greenhouse effect is the sequestration of heat.

Thus, the greenhouse effect can decrease the temperature of the Earth below average.

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The power output of the man pulling the bar can be calculated as follows:

Power = Work / Time

The work done by the man is equal to the force he exerts multiplied by the distance he moves the weights:

Work = Force x Distance

The force he exerts is equal to the weight of the weights he is lifting:

Force = Weight x g

where g is the acceleration due to gravity, which is approximately 10 m/s^2.

Plugging in the given values, we get:

Force = 30 kg x 10 m/s^2 = 300 N

Work = Force x Distance = 300 N x 0.5 m = 150 J

Power = Work / Time = 150 J / 0.5 s = 300 W

Now we can check which of the other options exerts the same power output:

Option A:

Force = 25 kg x 10 m/s^2 = 250 N

Work = Force x Distance = 250 N x 2.4 m = 600 J

Power = Work / Time = 600 J / 2.0 s = 300 W

Option B:

Force = 45 kg x 10 m/s^2 = 450 N

Work = Force x Distance = 450 N x 2.4 m = 1080 J

Power = Work / Time = 1080 J / 3.0 s = 360 W

Option C:

Force = 45 kg x 10 m/s^2 = 450 N

Work = Force x Distance = 450 N x 0.5 m = 225 J

Power = Work / Time = 225 J / 0.5 s = 450 W

Option D:

Force = 30 kg x 10 m/s^2 = 300 N

Work = Force x Distance = 300 N x 0.5 m = 150 J

Power = Work / Time = 150 J / 1.5 s = 100 W

Therefore, options A and B exert the same power output as the man pulling the bar, while options C and D do not.

the work done on the object is 20000 J.

The conversion factor from horsepower to watts is 1 hp = 746 watts.

Therefore, the Ford Shelby GT 500's horsepower of 760 hp can be converted to watts as follows:

760 hp × 746 watts/hp = 567760 watts

To convert horsepower to watts, you simply need to multiply the number of horsepower by the conversion factor of 746 watts/hp.So, the numeric answer for 760 hp in watts is 567760.

According to the work-energy principle, the work done on an object is equal to the change in kinetic energy. Mathematically, the work-energy principle can be represented as follows:

W = ΔKHere, W represents the work done on the object, and ΔK represents the change in kinetic energy of the object.

The change in kinetic energy can be calculated using the following formula:

ΔK = (1/2)mvf² - (1/2)mvi²

Here, m represents the mass of the object, vi represents the initial velocity of the object, and vf represents the final velocity of the object. In this case, the object is initially at rest (vi = 0), so the formula can be simplified to

:ΔK = (1/2)mvf²

Now, we can use the following kinematic equation to calculate the final velocity of the object:

vf² = vi² + 2ax

Here, a represents the acceleration of the object, x represents the displacement of the object, and vi represents the initial velocity of the object. Plugging in the given values, we get:

vf² = 0 + 2(10 m/s²)(30 m - 10 m)vf² = 400 m²/s²vf = 20 m/s

Now, we can plug in the values of m and vf to calculate the change in kinetic energy:

ΔK = (1/2)(100 kg)(20 m/s)²ΔK = 20000 JSo, the numeric answer for the work done on the object is 20000 J.

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The mirror would reflect the sunlight at an angle with the normal to the surface of the mirror. So, the correct option is (c).

When a rectilinear light beam contacts a surface, it is referred to as an incident ray at that location (surface). The angle of incidence is the angle formed by this beam and the normal or perpendicular to the surface. The incident beam was reflected. After striking the reflecting surface, the beam is said to have been "reflected" in the same medium.

From the laws of reflection, we know that

∠i=∠r

where i is the angle of incidence

r is the angle of reflection

Given,

∠i=37°

⇒∠r=∠i=37°

Therefore, mirror would reflect the sunlight at an angle with the normal to the surface of the mirror.

The complete question is : A ray of sunlight hits the mirror at an angle of 37 with the normal to the surface of the mirror. At what angle would the mirror reflect the sunlight?

A.Along the surface of the mirror.

B.Perpendicular to the mirror.

C.At an angle of with the normal to the surface of the mirror.

D.At an angle of with the surface of the mirror.

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